14. Camryn Jones is a weld inspector at a shipyard. He knows from keeping track of good and substandard welds that for the afternoon shift 3% of all welds done will be substandard. If Smith checks 400 of the 8500 welds completed during the afternoon shift: a) What is the probability that he will find less than 30 substandard welds? b) What is the probability that he will find between 10 and 30 substandard welds? c) What is the probability that he will find 20 or more substandard welds?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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14. Camryn Jones is a weld inspector at a shipyard. He knows from keeping track of good and
substandard welds that for the afternoon shift 3% of all welds done will be substandard. If Smith
checks 400 of the 8500 welds completed during the afternoon shift:
a) What is the probability that he will find less than 30 substandard welds?
b) What is the probability that he will find between 10 and 30 substandard welds?
c) What is the probability that he will find 20 or more substandard welds?

That's my question on my homework paper, and I'm not sure how to approach it. I tried using n and p as the population and probability on the first question but only got a z score of 5.13 and that isn't even on the standard z score chart. Any help would be appreciated. 

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